Proper Curvature Collineations in Static Spatially Homogeneous Rotating Spacetimes by Using Lorentzian Metric

摘要

In this paper we have investigated the curvature collineations in static spatially homogeneous rotating spacetimes by using the rank of Riemann matrix and direct integration techniques. The above investigation reveals that there are only five cases in which the static spatially homogeneous rotating spacetimes admit the proper curvature collineations. It is also found that when the above spacetimes admit proper curvature collineations, it turns into an infinite dimensional vector space and becomes the class of infinite dimensional Lie groups or Lie algebra.